👉 A pentagonal number is a figurate number that extends its definition to include numbers of the form 5n + 1, where n ranges from 1 through 4. A pentagonal number is a figurate number that can be represented as 5n + 1 for some integer n. Pentagonal numbers are also known as pentagons or pentagons in English-speaking countries, and they are frequently used to represent the faces of a pentagon, such as the five-point